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Finding the Fourth Proportional to 569.50, 853.08 and 326.14

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Solution

The fourth proportional to 569.50, 853.08 and 326.14 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.50 : 853.08 = 326.14 : x
  2. Step 2: Convert to fraction form
    569.50/853.08 = 326.14/x
  3. Step 3: Cross multiply
    569.50x = 853.08 × 326.14
  4. Step 4: Simplify right side
    569.50x = 278,223.51
  5. Step 5: Solve for x
    x = 278,223.51/569.50
  6. Step 6: Final answer
    x = 488.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.